What is the average kinetic energy of the translational motion per molecule?

Physics
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An extremely small sample of an ideal diatomic gas (with a molar mass of 28 g/mol) has the following distribution of molecular speeds: 1 molecule moving at 100 m/s, 2 molecules at 200 m/s, 4 at 300 m/s, and 3 at 400 m/s.

What is the rms speed of the distribution?    I got 304.95 m/s or 305 m/s

What is the average kinetic energy of translational motion per molecule? 

What is the temperature of this sample?

Dec 9th, 2015

Thank you for the opportunity to help you with your question!

rms=(summation of v*v*(no of molecules)/no of molecules)power1/2

= 304.95
avg K.E.= summation of v*no of molecules /no of molecules = 290 temp= 103.4 k
Please let me know if you need any clarification. I'm always happy to answer your questions.
Dec 9th, 2015

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